LCM of 234, 572, 186, 444, 703
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 572, 186, 444, 703 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 234, 572, 186, 444, 703. So, keep reading to learn more.
Given numbers are 234,572,186,444,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,572,186,444,703 is 112190364.
Find LCM of 234,572,186,444,703 with Prime Factorization
| 2 | 234, 572, 186, 444, 703 |
| 2 | 117, 286, 93, 222, 703 |
| 3 | 117, 143, 93, 111, 703 |
| 13 | 39, 143, 31, 37, 703 |
| 37 | 3, 11, 31, 37, 703 |
| 3, 11, 31, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 37 x 3 x 11 x 31 x 1 x 19 = 112190364
Therefore, the lowest common multiple of 234,572,186,444,703 is 112190364.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
234 x 572 x 186 x 444 x 703 = 7770753372096
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
186 : 1, 2, 3, 6, 31, 62, 93, 186
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,572,186,444,703, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
572:2x 2x 11x 13
186:2x 3x 31
444:2x 2x 3x 37
703:19x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 13x 37 = 69264
Therefore, the value for common factors is 69264.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 7770753372096/(1x69264)
LCM = 7770753372096/69264
LCM = 112190364
Thus, we can understand that the LCM of 234,572,186,444,703 is 112190364.
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FAQs on LCM of 234, 572, 186, 444, 703
1. What is the LCM of 234, 572, 186, 444, 703?
Answer: LCM of 234, 572, 186, 444, 703 is 112190364.
2. How to calculate the LCM of 234, 572, 186, 444, 703?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 234, 572, 186, 444, 703.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.